Math 10C Trigonometry Review
Multiple Choice
1. Determine tan A and tan C.
(a) tan A = 39◦ and tan C = 51◦
(c) tan A = 0.8, and tan C = 1.25
(b) tan A = 0.8, and tan C = 0.7809...
(d) tan A = 51◦ , and tan C = 39◦
2. Determine the measure of ∠D to the nearest tenth of a degree.
(a) 18.4◦
(c) 70.5◦
(b) 19.5◦
(d) 71.6◦
3. Determine the measure of ∠D to the nearest tenth of a degree.
(a) 67.6◦
(c) 22.4◦
(b) 69.1◦
(d) 20.9◦
1
4. Determine the measure of ∠Q to the nearest tenth of a degree.
(a) 68.4◦
(c) 21.6◦
(b) 69.8◦
(d) 20.2◦
¯ to the nearest tenth of a centimetre.
5. Determine the length of XY
(a) 8.4 cm
(c) 31.4 cm
(b) 15.2 cm
(d) 19.9 cm
6. A ladder is 8.0 m long. It leans against a wall. The angle of inclination of the ladder is 72◦ . To the
nearest tenth of a metre, how far from the wall is the base of the ladder?
(a) 2.6 m
(c) 25.9 m
(b) 7.6 m
(d) 2.5 m
7. A wheelchair ramp is 7.0 m long. Its angle of inclination is 9◦ . Calculate the rise of the ramp to the
nearest tenth of a metre.
(a) 1.0 m
(c) 1.1 m
(b) 44.7 m
(d) 6.9 m
2
8. Solve this right triangle. Give the measures to the nearest tenth.
(a) ∠J = 68.6◦ , ∠L = 21.4◦ , JL = 24.7 cm
(c) ∠J = 21.4◦ , ∠L = 68.6◦ , JL = 24.7 cm
(b) ∠J = 68.6◦ , ∠L = 21.4◦ , JL = 63.1 cm
(d) ∠J = 21.4◦ , ∠L = 68.6◦ , JL = 63.1 cm
9. Solve this right triangle. Give the measures to the nearest tenth.
(a) ∠F = 67◦ ; GH = 3.4 m; F H = 8.7 m
(c) ∠F = 77◦ ; GH = 18.8 m; F H = 20.5 m
(b) ∠F = 67◦ ; GH = 18.8 m; F H = 8.7 m
(d) ∠F = 67◦ ; GH = 18.8 m; F H = 20.5 m
10. Solve this right triangle. Give the measures to the nearest tenth.
(a) ∠G = 40◦ ; GH = 21.8 cm; F H = 18.3 cm
(c) ∠G = 40◦ ; GH = 18.3 cm; F H = 21.8 cm
(b) ∠G = 40◦ ; GH = 21.8 cm; F H = 44.3 cm
(d) ∠G = 50◦ ; GH = 21.8 cm; F H = 18.3 cm
3
11. Determine the length of this wheelchair ramp to the nearest hundredth of a meter.
(a) 4.60 m
(c) 4.46 m
(b) 7.50 m
(d) 4.54 m
¯ to the nearest tenth of a centimeter.
12. Determine the length of RS
(a) 6.7 cm
(c) 11.4 cm
(b) 9.3 cm
(d) 8.3 cm
13. sin−1
12
13
represents
(a) ∠A
(c) The sine ratio
(b) ∠B
(d) The cosine ratio
Short Answer
1. Solve for x to the nearest tenth in each of the following.
4
2. Solve for x in each of the following, and express your answer to the nearest tenth.
3. Determine the length of side r to the nearest tenth of a meter.
¯ to the nearest tenth of a meter.
4. Determine the length of RT
5. Solve for x to the nearest tenth. The videos for these questions can be accessed using the following
links: (a), (b), (c), (d), (e) and (f).
5
Worked Solutions:
Worked solutions can be accessed at the following website.
https://sites.google.com/a/epsb.ca/math-10c-review-material/home
6